defined function f(2), the replacement f(z) \delta(z)=f(0) \delta(z) is justified. Using Eq. (1), Eq. (2), and Eq. (3), verify (by substituting the solution intothe differential equation) that g(z)=\frac{1}{2 k} e^{-k|z|} is a particular solution of the differential equation -\left(\frac{d^{2}}{d z^{2}}-k^{2}\right) g(z)=\delta(z)

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